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Finding the Fourth Proportional to 355.87, 533.67 and 109.02

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Solution

The fourth proportional to 355.87, 533.67 and 109.02 is: 163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.87 : 533.67 = 109.02 : x
  2. Step 2: Convert to fraction form
    355.87/533.67 = 109.02/x
  3. Step 3: Cross multiply
    355.87x = 533.67 × 109.02
  4. Step 4: Simplify right side
    355.87x = 58,180.70
  5. Step 5: Solve for x
    x = 58,180.70/355.87
  6. Step 6: Final answer
    x = 163.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.